Introduction To Analysis With Complex Numbers
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€122.99
A01=Irena Swanson
Age Group_Uncategorized
Age Group_Uncategorized
Analysis
Applications of Integration
Areas
Author_Irena Swanson
automatic-update
Basic Structures
Binary Operations
Category1=Non-Fiction
Category=PBKB
Complex Analysis
Complex Exponential Function
Complex Numbers
Construction of Natural Numbers
Construction of Real Numbers
Continuity
COP=Singapore
Dedekind Cuts
Delivery_Delivery within 10-20 working days
Differentiability of Power Series
Differentiation
Differentiation with Proofs
Epsilon-Delta Definition
eq_isMigrated=2
eq_nobargain
Equivalence Relations
Extreme Value Theorem
Fields
Format=BB
Format_Hardback
Functions
Fundamental Theorem of Calculus
Heine-Borel Theorem
How to Write Proofs
Integrability
Integral Test
Integration
Intermediate Value Theorem
Introduction to Proof Writing
Language_English
Least Upper Bound Theorem
Length of Curves
Liminf
Limit Points of Sets
Limits
Limsup
Logic
Many Examples
Many Proof Examples
Mean Value Theorem
Natural Algorithm
Numerical Calculations of Series
Open and Closed Sets
Order
Ordered Sets
PA=Available
Power Series
Price_€100 and above
Proof Writing
PS=Active
Radius of Convergence
Ratio Test
Real Analysis
Real Exponential Function
Relations
Riemann Sums
Root Test
Sequences
Series
Set Theory
Sets
Signed Areas
softlaunch
Surface Areas
Taylor Polynomials
Taylor Remainder Theorem
Taylor Series
Topology
Trigonometry
Volumes of Solids of Integration
Product details
- ISBN 9789811225857
- Format: Hardback
- Publication Date: 25 Mar 2021
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
- Language: English
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This is a self-contained book that covers the standard topics in introductory analysis and that in addition constructs the natural, rational, real and complex numbers, and also handles complex-valued functions, sequences, and series.
The book teaches how to write proofs. Fundamental proof-writing logic is covered in Chapter 1 and is repeated and enhanced in two appendices. Many examples of proofs appear with words in a different font for what should be going on in the proof writer's head.
The book contains many examples and exercises to solidify the understanding. The material is presented rigorously with proofs and with many worked-out examples. Exercises are varied, many involve proofs, and some provide additional learning materials.
